Research map / Large language models / Reasoning and chain of thought
TTRL: Test-Time Reinforcement Learning
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Proposes TTRL, which runs GRPO reinforcement learning on unlabeled test questions using majority-voted pseudo-labels from repeated sampling as rule-based rewards, improving reasoning models on math and GPQA benchmarks.
Problem
Reinforcement learning for LLM reasoning normally needs labeled data, and test-time data has no ground-truth labels, so reward estimation at inference is the core challenge.
Approach
Estimate a pseudo-label for each test question by majority voting over many sampled rollouts, then convert agreement with that label into binary rule-based rewards and run online RL (GRPO) at test time; the reward signal is self-generated and needs no ground truth.
Key results
- On Qwen2.5-Math-7B, TTRL raises AIME 2024 pass@1 from 12.9 to 40.2 (+211.6%) with only unlabeled test data.
- Average gain across AIME 2024, AMC, MATH-500 and GPQA for Qwen2.5-Math-7B is 76.5% (31.1 to 54.9).
- TTRL avg@64 on Qwen2.5-Math-7B consistently exceeds the initial model's maj@64 across benchmarks, surpassing the self-training upper bound.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Apply TTRL | Qwen2.5-Math-7B · AIME 2024, AMC, MATH-500, and GPQA | pass@1: AIME 2024: 12.9 -> 40.2; AMC: 35.6 -> 68.1; MATH-500: 46.7 -> 83.4; GPQA: 29.1 -> 27.7 | Mixed |
| Apply TTRL | Qwen2.5-7B · AIME 2024, AMC, MATH-500, and GPQA | pass@1: AIME 2024: 7.9 -> 23.3; AMC: 34.8 -> 56.6; MATH-500: 60.5 -> 80.5; GPQA: 31.8 -> 33.6 | Helped |
| Apply TTRL | Qwen2.5-32B · AIME 2024, AMC, MATH-500, and GPQA | pass@1: AIME 2024: 7.9 -> 24.0; AMC: 32.6 -> 59.3; MATH-500: 55.8 -> 83.2; GPQA: 33.2 -> 37.7 | Helped |
| Apply TTRL | LLaMA3.1-8B · AIME 2024, AMC, MATH-500, and GPQA | pass@1: AIME 2024: 4.6 -> 10.0; AMC: 23.3 -> 32.3; MATH-500: 48.6 -> 63.7; GPQA: 30.8 -> 34.1 | Helped |
| Apply TTRL | Qwen2.5-Math-1.5B · MATH-500 | accuracy: 32.7 -> 73.0 | Helped |
| Apply TTRL separately to increasing MATH-500 difficulty levels | Qwen2.5-Math-1.5B · MATH-500-L1 through MATH-500-L5 | accuracy: MATH-500-L1: 25.9 -> 71.2; MATH-500-L2: 33.0 -> 76.2; MATH-500-L3: 36.3 -> 76.3; MATH-500-L4: 32.5 -> 58.7; MATH-500-L5: | Mixed |
Surprising findings
- Reward accuracy stays above 75% even when label accuracy rarely exceeds 50%, attributed to scattered incorrect predictions (the 'Lucky Hit' effect).
- TTRL trained on test data surpasses the initial model's majority-vote accuracy despite being supervised only by that majority vote.
Limitations
- Performance depends on prior knowledge of the backbone; gains shrink on harder MATH-500 difficulty levels and TTRL can fail when priors are insufficient.
- Sensitive to RL hyperparameters such as temperature and number of episodes; poor settings cause persistently high entropy and failed training.
- Some comparisons with prior R1-Zero-like models use a different setup, making comparisons unfair as acknowledged by the authors.
Experimental setup
Datasets: AIME 2024 AMC MATH-500 GPQA-Diamond
Benchmarks: AIME 2024 AMC MATH-500 GPQA-Diamond
Metrics: pass@1 avg@16 maj@16 maj@64 accuracy
Baselines: Qwen2.5-Math-7B (backbone) Qwen2.5-Math-7B-Instruct Oat-Zero-7B SimpleRL-Zero-7B PRIME-Zero-7B RL (leakage)
Builds on: GRPO PPO PRIME test-time scaling self-consistency
Closest papers by meaning
- Tool Verification for Test-Time Reinforcement Learning (NeurIPS 2026 · similarity 0.92)
- T1: Advancing Language Model Reasoning through Reinforcement Learning and Inference Scaling (ICML 2025 · similarity 0.91)
- ProRL: Prolonged Reinforcement Learning Expands Reasoning Boundaries in Large Language Models (NeurIPS 2025 · similarity 0.91)
- Optimizing Test-Time Compute via Meta Reinforcement Finetuning (ICML 2025 · similarity 0.91)
- On Predictability of Reinforcement Learning Dynamics for Large Language Models (ICLR 2026 · similarity 0.91)
- Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection (ICLR 2026 · similarity 0.90)
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